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3890492592 = 243731912437
BaseRepresentation
bin1110011111100100…
…0011010010110000
3101001010122111112020
43213321003102300
530431431230332
61442014431440
7165260433000
oct34771032260
911033574466
103890492592
111717099738
12906b02580
134a002c62c
1428c9aa000
1517b84382c
hexe7e434b0

3890492592 has 160 divisors (see below), whose sum is σ = 12338496000. Its totient is φ = 1052980992.

The previous prime is 3890492581. The next prime is 3890492597. The reversal of 3890492592 is 2952940983.

It is a happy number.

3890492592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3890492597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306598 + ... + 319034.

It is an arithmetic number, because the mean of its divisors is an integer number (77115600).

Almost surely, 23890492592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3890492592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169248000).

3890492592 is an abundant number, since it is smaller than the sum of its proper divisors (8448003408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3890492592 is a wasteful number, since it uses less digits than its factorization.

3890492592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12488 (or 12468 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 3890492592 is about 62373.8133514378. The cubic root of 3890492592 is about 1572.7807955557.

The spelling of 3890492592 in words is "three billion, eight hundred ninety million, four hundred ninety-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 343 392 399 456 532 588 686 784 798 912 931 1029 1064 1176 1372 1596 1862 2058 2128 2352 2744 2793 3192 3724 4116 5488 5586 6384 6517 7448 8232 11172 12437 13034 14896 16464 19551 22344 24874 26068 37311 39102 44688 49748 52136 74622 78204 87059 99496 104272 149244 156408 174118 198992 236303 261177 298488 312816 348236 472606 522354 596976 609413 696472 708909 945212 1044708 1218826 1392944 1417818 1654121 1828239 1890424 2089416 2437652 2835636 3308242 3656478 3780848 4178832 4265891 4875304 4962363 5671272 6616484 7312956 8531782 9750608 9924726 11342544 11578847 12797673 13232968 14625912 17063564 19849452 23157694 25595346 26465936 29251824 34127128 34736541 39698904 46315388 51190692 68254256 69473082 79397808 81051929 92630776 102381384 138946164 162103858 185261552 204762768 243155787 277892328 324207716 486311574 555784656 648415432 972623148 1296830864 1945246296 3890492592